Q.17. - Precalculus Enhanced with Graphing Utilities

Question

In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility.$2(3 + 2x) = 3(x - 4)$

Step-by-Step Solution

Answer

The value of X is$x=-18$

Step 1.Given Equation

$2(3+2x)=3(x-4)$

Step 2. Solve equation

$$\begin{gathered} 2(3 + 2x) = 3(x - 4) \\ \Rightarrow 6+4x=3x-12 \\ \Rightarrow x=-12-6 \\ \Rightarrow x=-18 \end{gathered}$$

Step 3.Graph of simplified equation and intersection point on X- axis

x-intersection of both graphs is -18